1. Find $a$,$b$ and $n$ in the expansion of $\displaystyle \small (a+b)^{n}$ if the first three terms of the expansion are 729, 7290 and 30375, res…
Read moreFind the coefficient of 1. $\displaystyle \small x^{5}$ in $\displaystyle \small (x+3)^{8}$ We know that, general term of expansion $\displayst…
Read moreGeneral Term If $n$ is any natural number and a,b are any numbers, then $\displaystyle \small (a+b)^{n}=^{n}C_{0}a^{n}+^{n}C_{1}a^{n-1}b+^{n}C_{2…
Read moreExpand each of the expressions 1. $(1-2x)^{5}$ [$\displaystyle \small (1-x)^{n}=^{n}C_{0}-^{n}C_{1}x+^{n}C_{2}x^{2}-...$ $\displaystyle \small +(…
Read moreThe general form of binomial expression is $a+b$ and the expansion of $(a+b)^{n}$, $n\epsilon N$, is called the binomial theorem for positive inte…
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